Search a number
-
+
53011689318 = 23277950910463
BaseRepresentation
bin110001010111101111…
…100010111101100110
312001211110211211200200
4301113233202331212
51332031443024233
640204144251330
73554451632040
oct612757427546
9161743754620
1053011689318
1120533797895
12a335610b46
134cca9b7a03
1427cc6daa90
1515a3e97313
hexc57be2f66

53011689318 has 96 divisors (see below), whose sum is σ = 133202534400. Its totient is φ = 14923666368.

The previous prime is 53011689299. The next prime is 53011689337. The reversal of 53011689318 is 81398611035.

It is a happy number.

53011689318 is a `hidden beast` number, since 530 + 1 + 1 + 6 + 89 + 31 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (53011689299) and next prime (53011689337).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5061355 + ... + 5071817.

It is an arithmetic number, because the mean of its divisors is an integer number (1387526400).

Almost surely, 253011689318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53011689318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66601267200).

53011689318 is an abundant number, since it is smaller than the sum of its proper divisors (80190845082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53011689318 is a wasteful number, since it uses less digits than its factorization.

53011689318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11066 (or 11063 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 53011689318 in words is "fifty-three billion, eleven million, six hundred eighty-nine thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 509 553 711 1018 1106 1422 1527 1659 3054 3318 3563 4581 4977 7126 9162 9954 10463 10689 20926 21378 31389 32067 40211 62778 64134 73241 80422 94167 120633 146482 188334 219723 241266 281477 361899 439446 562954 659169 723798 826577 844431 1318338 1653154 1688862 2479731 2533293 4959462 5066586 5325667 5786039 7439193 10651334 11572078 14878386 15977001 17358117 31954002 34716234 37279669 47931003 52074351 74559338 95862006 104148702 111839007 223678014 335517021 420727693 671034042 841455386 1262183079 2524366158 2945093851 3786549237 5890187702 7573098474 8835281553 17670563106 26505844659 53011689318